You are about to take a great picture of fog rolling into San Francisco from the middle of the Golden Gate Bridge, 400 feet above the water. Whoops! You accidently lean too far over the safety rail and drop your camera. Your friend quips, “Well at least you know calculus; you can figure out the velocity with which the camera is going to hit the water.” If the camera’s height, s(t), in feet, over the water after t seconds is s(t) = 400 - 16t2, describe how to determine the camera’s velocity at the instant of its demise.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
You are about to take a great picture of fog rolling into San Francisco from the middle of the Golden Gate Bridge, 400 feet above the water. Whoops! You accidently lean too far over the safety rail and drop your camera. Your friend quips, “Well at least you know calculus; you can figure out the velocity with which the camera is going to hit the water.” If the camera’s height, s(t), in feet, over the water after t seconds is s(t) = 400 - 16t2, describe how to determine the camera’s velocity at the instant of its demise.
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